Divisibility Check: Is 43 Divisible by 4?

Divisibility Rules with Two-Digit Numbers

Is the number 43 divisible by 4?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Is the number divisible by 4?
00:04 The ones digit is odd, therefore not divisible by 2
00:07 A number that is not divisible by 2 is necessarily not divisible by 4
00:16 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Is the number 43 divisible by 4?

2

Step-by-step solution

To determine if the number 43 is divisible by 4, we apply the divisibility rule for 4:

  • According to the rule, a number is divisible by 4 if the last two digits of the number, treated as a separate number, are divisible by 4.
  • For the number 43, the last two digits are "43" itself.
  • We now test if 43 is divisible by 4 by performing a simple division: 434 \frac{43}{4} .

Dividing 43 by 4 gives us:

434=10.75 \frac{43}{4} = 10.75

Since 10.75 is not a whole number, 43 is not divisible by 4 without leaving a remainder.

Thus, the number 43 is not divisible by 4.

Therefore, the correct answer is No.

3

Final Answer

No

Key Points to Remember

Essential concepts to master this topic
  • Rule: A number is divisible by 4 if its last two digits are divisible by 4
  • Technique: Check if 434=10.75 \frac{43}{4} = 10.75 gives a whole number
  • Check: Since 10.75 is not whole, 43 has remainder when divided by 4 ✓

Common Mistakes

Avoid these frequent errors
  • Checking only the last digit instead of last two digits
    Don't just look at the 3 in 43 = wrong method! The divisibility rule for 4 requires checking the last TWO digits, not just one. Always examine the complete last two digits as a separate number.

Practice Quiz

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Is the number 43 divisible by 4?

FAQ

Everything you need to know about this question

Why do we check the last two digits for divisibility by 4?

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Because 100 is divisible by 4, any multiple of 100 is also divisible by 4. So we only need to check the remaining part - the last two digits!

What if the number has only one digit?

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For single-digit numbers, just check if that digit divides evenly by 4. For example, 8 ÷ 4 = 2 (whole number), so 8 is divisible by 4.

Can I use a calculator to check divisibility?

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Yes! Divide the number by 4. If you get a whole number (no decimal), it's divisible. If there's a decimal, it's not divisible by 4.

What does it mean when we get a remainder?

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A remainder means the division isn't exact. For 43 ÷ 4 = 10 remainder 3, this means 43 = (4 × 10) + 3, so 43 is not divisible by 4.

Are there any shortcuts for checking divisibility by 4?

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Yes! If the last two digits form a number that's divisible by 4 (like 00, 04, 08, 12, 16, 20, 24, etc.), then the whole number is divisible by 4.

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